38153952 has 72 divisors (see below), whose sum is σ = 109405296. Its totient is φ = 12612096.

The previous prime is 38153911. The next prime is 38154007. The reversal of 38153952 is 25935183.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38973 + ... + 39939.

It is an arithmetic number, because the mean of its divisors is an integer number (1519518).

Almost surely, 2^38153952 is an apocalyptic number.

38153952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38153952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54702648).

38153952 is an abundant number, since it is smaller than the sum of its proper divisors (71251344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38153952 is a wasteful number, since it uses less digits than its factorization.

38153952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1109 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 38153952 is about 6176.8885371196. Note that the first 3 decimals coincide. The cubic root of 38153952 is about 336.6509489552.

The spelling of 38153952 in words is "thirty-eight million, one hundred fifty-three thousand, nine hundred fifty-two".